x^5-5x^4+5x^3+7x^2-14x+6
You asked:
Evaluate the expression: \({x}^{5} - 5 \cdot {x}^{4} + 5 \cdot {x}^{3} + 7 \cdot {x}^{2} - 14 x + 6\)
MathBot Answer:
Evaluated
\(\displaystyle {x}^{5} - 5 \cdot {x}^{4} + 5 \cdot {x}^{3} + 7 \cdot {x}^{2} - 14 x + 6 = x^{5} - 5 x^{4} + 5 x^{3} + 7 x^{2} - 14 x + 6 \)
Factored
\[{x}^{5} - 5 \cdot {x}^{4} + 5 \cdot {x}^{3} + 7 \cdot {x}^{2} - 14 x + 6 = \left(x^{2} - 2\right) \left(x - 3\right) \left(x - 1\right)^{2}\]